Compact bilinear commutators: the quasi-Banach space case
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Bényi, Á., and R.H. Torres. 2013. Compact bilinear operators and commutators. Proceedings of the American Mathematical Society 141 (10): 3609–3621.
Bényi, Á., W. Damián, K. Moen, and R.H. Torres. 2015. Compact bilinear commutators: The weighted case. Michigan Mathematical Journal 64 (1): 39–51.
Chaffee, L., P. Chen, Y. Han, R.H. Torres, and L.A. Ward. 2018. Characterization of compactness of commutators of bilinear singular integral operators. Proceedings of the American Mathematical Society 146 (9): 3943–3953.
Coifman, R., R. Rochberg, and G. Weiss. 1976. Factorization theorems for Hardy spaces in several variables. Annals of Mathematics 103 (3): 611–635.
Grafakos, L., and R.H. Torres. 2002. Multilinear Calderón–Zygmund theory. Advances in Mathematics 165 (1): 124–164.
Grafakos, L., and R.H. Torres. 2002. Maximal operator and weighted norm inequalities for multilinear singular integrals. Indiana University Mathematics Journal 51 (5): 1261–1276.
Lerner, A., S. Ombrosi, C. Pérez, R. Torres, and R. Trujillo-González. 2009. New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory. Advances in Mathematics 220 (4): 1222–1264.
Pérez, C., and R.H. Torres. 2003. Sharp maximal function estimates for multilinear singular integrals. Contemporary Mathematics 320: 323–331.
Tang, L. 2008. Weighted estimates for vector-valued commutators of multilinear operators. Proceedings of the Royal Society of Edinburgh Section A 138: 897–922.
Tsuji, M. 1951. On the compactness of space $$L^p$$ L p ( $$p > 0$$ p > 0 ) and its application to integral operators. Kodai Mathematical Seminar Reports 3: 33–36.
Uchiyama, A. 1978. On the compactness of operators of Hankel type. Tôhoku Mathematical Journal 30(2) (1): 163–171.
Yan, J. 2015. Multilinear vector-valued singular integral operators and square operators (in Chinese). PhD thesis, Beijing Normal University, Beijing, People’s Republic of China.